Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).
A. \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
B. \(\begin{pmatrix} 8 & 18 \end{pmatrix}\)
C. \(\begin{pmatrix} 8 & 0 \end{pmatrix}\)
D. \(\begin{pmatrix} 1 & 2 \end{pmatrix}\)
Correct Answer: A
Explanation
\(|Q| = \begin{vmatrix} -1 & -2 \\ 3 & 2 \end{vmatrix}\)
= \(-2 - (-6) = 4\)
\(4P = 4\begin{pmatrix} 4 & 9 \end{pmatrix}\)
= \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
